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Finding the Third Proportional to 42,859.13 and 47,643.19

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Solution

The third proportional to 42,859.13 and 47,643.19 is: 52,961.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,859.13 : 47,643.19 = 47,643.19 : x
  2. Step 2: Convert to fraction form
    42,859.13/47,643.19 = 47,643.19/x
  3. Step 3: Cross multiply
    42,859.13x = 47,643.19 × 47,643.19
  4. Step 4: Simplify right side
    42,859.13x = 2,269,873,315.16
  5. Step 5: Solve for x
    x = 2,269,873,315.16/42,859.13
  6. Step 6: Final answer
    x = 52,961.26

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.